SOLUTION: I need help in dividing polynomials= long division (x^2-7x+10)/(x+3)

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Question 936797: I need help in dividing polynomials= long division
(x^2-7x+10)/(x+3)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Polynomial Division works the same way as base-ten long-division. The powers of x are used instead of place value powers of 10.

How many times does x go into x^2?
x%5E2%2Fx=x
Show x above the first term of the dividend.

________________________x
________________________________________________
________________|
____x+3_________)______x^2______-7x________+10


Multiply and then subtract....

________________________x
________________________________________________
________________|
____x+3_________)______x^2______-7x________+10
_______________________x^2______3x
__________________________________
_______________________0_______-10x


Bring down the next term, and continue the process...

________________________x________-10
________________________________________________
________________|
____x+3_________)______x^2______-7x________+10
_______________________x^2______3x
__________________________________
_______________________0_______-10x________10
_______________________________-10x________-30
_________________________________________________
________________________________0__________40


The degree of the remainder is less than the degree of the divisor, so the quotient found is highlight%28x-10%2B40%2F%28x%2B3%29%29